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412404120 = 233251960293
BaseRepresentation
bin11000100101001…
…100100110011000
31001202000022002200
4120211030212120
51321033412440
6104531130200
713135243242
oct3045144630
91052008080
10412404120
111a1878357
12b6143960
136759550b
143cab3092
1526313c30
hex1894c998

412404120 has 96 divisors (see below), whose sum is σ = 1410879600. Its totient is φ = 104184576.

The previous prime is 412404119. The next prime is 412404121. The reversal of 412404120 is 21404214.

It is an interprime number because it is at equal distance from previous prime (412404119) and next prime (412404121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412404093 and 412404102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412404121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23307 + ... + 36986.

Almost surely, 2412404120 is an apocalyptic number.

412404120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412404120 is an abundant number, since it is smaller than the sum of its proper divisors (998475480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412404120 is a wasteful number, since it uses less digits than its factorization.

412404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60329 (or 60322 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412404120 is about 20307.7354719821. The cubic root of 412404120 is about 744.3450965829.

Adding to 412404120 its reverse (21404214), we get a palindrome (433808334).

The spelling of 412404120 in words is "four hundred twelve million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 60293 120586 180879 241172 301465 361758 482344 542637 602930 723516 904395 1085274 1145567 1205860 1447032 1808790 2170548 2291134 2411720 2713185 3436701 3617580 4341096 4582268 5426370 5727835 6873402 7235160 9164536 10310103 10852740 11455670 13746804 17183505 20620206 21705480 22911340 27493608 34367010 41240412 45822680 51550515 68734020 82480824 103101030 137468040 206202060 412404120